2228688000 has 1024 divisors, whose sum is σ = 10387353600. Its totient is φ = 456192000.

The previous prime is 2228687999. The next prime is 2228688013. The reversal of 2228688000 is 8868222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33263967 + ... + 33264033.

It is an arithmetic number, because the mean of its divisors is an integer number (10143900).

Almost surely, 2^2228688000 is an apocalyptic number.

2228688000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193676800).

2228688000 is an abundant number, since it is smaller than the sum of its proper divisors (8158665600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2228688000 is a wasteful number, since it uses less digits than its factorization.

2228688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2228688000 is about 47208.9821961880. The cubic root of 2228688000 is about 1306.2202880844.

The spelling of 2228688000 in words is "two billion, two hundred twenty-eight million, six hundred eighty-eight thousand".